{ "protocol": { "name": "CVP", "version": "1.0.0-proposed", "revision": "2026-09-13", "spec_sha256": "f62725968356c92930531cd6085db76e216da06e95be53d636b0d2cf3218b148", "spec": "https://www.calculatorx.com/developers/cvp/spec/1.0" }, "document_status": "proposed", "calculator": { "id": "solid-geometry", "version": "1.18.0", "title": "Solid Geometry Calculator", "formula_family": "solid-geometry", "capability_id": "math.geometry.solid", "verification_revision": "2026-09-21.solid-cvp-all-modes" }, "profile": "core", "verified_scope": "all published modes", "status": "VERIFIED", "verification_status": "VERIFIED", "production_freshness": "CURRENT", "overall_trust": "VERIFIED", "runner": { "name": "cvp-runner", "version": "1.0.0" }, "environment": { "runtime": "node", "runtime_version": "20.19.2", "numeric_model": "IEEE-754 binary64", "os": "darwin" }, "suite": { "id": "solid-geometry", "version": "1.18.0", "uri": "https://www.calculatorx.com/evidence/math.geometry.solid/1.18.0.json", "verification_revision": "2026-09-21.solid-cvp-all-modes" }, "obligation_set": [ "CVP-PROV-01", "CVP-MODEL-01", "CVP-SCOPE-01", "CVP-UNIT-01", "CVP-REF-01", "CVP-GOLD-01", "CVP-BND-01", "CVP-INV-01", "CVP-NUM-01", "CVP-COV-01", "CVP-CONTRACT-01", "CVP-DEP-01", "CVP-ART-01", "CVP-PROD-01", "CVP-DIM-01", "CVP-PROP-01", "CVP-XCAL-01", "CVP-IFACE-01" ], "provenance": { "mode": "direct", "sources": [ { "label": "ISO 80000-2:2019 Quantities and units — Mathematics", "kind": "standard", "reference": "Quantity names and symbols for the solid-geometry identities, including ellipsoid volume V = 4/3 πabc" }, { "label": "NIST DLMF §19.2 Incomplete elliptic integrals", "kind": "other", "reference": "19.2(ii) Legendre’s integrals F(φ,k) and E(φ,k)", "url": "https://dlmf.nist.gov/19.2" }, { "label": "John D. Cook — Ellipsoid surface area", "kind": "other", "reference": "Triaxial ellipsoid surface in incomplete F(φ,k), E(φ,k) after sorting a ≥ b ≥ c", "url": "https://www.johndcook.com/blog/2014/07/06/ellipsoid-surface-area/" } ] }, "controls": { "CVP-PROV-01": { "result": "PASS", "applicability": "required", "notes": "Sources present on evidence" }, "CVP-MODEL-01": { "result": "PASS", "applicability": "required", "notes": "Right Euclidean solids: sphere/cylinder/cone/torus/frustum/prism/pyramid/Platonic/n-gon prism-pyramid-frustum/ellipsoid/spherical cap-zone-wedge-lune-sector. Ellipsoid volume 4/3 πabc; surface spheroid closed forms or Legendre F(φ,k), E(φ,k) with modulus k." }, "CVP-SCOPE-01": { "result": "PASS", "applicability": "required", "notes": "Right solids only; not oblique. Ring torus R>r. Discovery pages lock one mode on math.geometry.solid. Not the 2-D circle, not a vector, not ISO 5167-5, not CAS. Declared partitions are the 20 published modes plus invalid-domain." }, "CVP-UNIT-01": { "result": "PASS", "applicability": "required", "notes": "Consistent length; V in length³, A in length²" }, "CVP-REF-01": { "result": "PASS", "applicability": "required", "notes": "O1 model + O2 expected_values + O2 numerical_behavior" }, "CVP-GOLD-01": { "result": "PASS", "applicability": "required", "notes": "43/43 legacy golden; 26/26 oracle-backed numeric" }, "CVP-BND-01": { "result": "PASS", "applicability": "required", "notes": "24/24 numeric-edge Evidence + 3/3 near-singularity numeric; illegal enum/system is Invalid only" }, "CVP-INV-01": { "result": "PASS", "applicability": "required", "notes": "25 Evidence illegal-input + 7/7 oracle-backed error-code (exact_error_match, not ULP)" }, "CVP-NUM-01": { "result": "PASS", "applicability": "required", "notes": "max_error_observed_ulp=28148; policy declared a priori" }, "CVP-COV-01": { "result": "PASS", "applicability": "required", "notes": "21/21 declared partitions (sphere, cylinder, cone, torus, frustum, prism, pyramid, tetrahedron, octahedron, icosahedron, dodecahedron, regular-prism, regular-pyramid, regular-frustum, ellipsoid, spherical-cap, spherical-zone, spherical-wedge, spherical-lune, spherical-sector, invalid-domain) · 43 legacy golden / 27 CVP boundary unique cases · 25 Evidence invalid-input (may overlap boundary)" }, "CVP-CONTRACT-01": { "result": "PASS", "applicability": "required", "notes": "3/3 CVP contract" }, "CVP-DEP-01": { "result": "PASS", "applicability": "required", "notes": "engine solid-geometry; Node binary64" }, "CVP-ART-01": { "result": "PASS", "applicability": "required", "notes": "release_integrity.status=verified · digests: artifact_evidence_sha256=Evidence core (Trust freshness) · cvp_evidence_digest=artifacts.evidence_digest (fingerprint v2) · evidence_bundle_sha256=legacy Evidence JSON bytes · evidence_catalog_digest=attested_catalog_sha256 · production_sha256=bound production report · see artifacts.digest_registry" }, "CVP-PROD-01": { "result": "PASS", "applicability": "required", "notes": "this calculator CURRENT · bound snapshot pass @ 2026-09-21T14:31:16.370Z · live site-wide report stale @ 2026-09-21T14:31:20.057Z (1 other capabilities) · local checks pass · attestation_id=fc4251067456cf2704a9455f12b6f2af3152820217ca28055b2d9bf2b5e1d924 · STALE · Last attested schema matched 1.18.0 snapshot / local build · Semantic contract ✓ · Last attestation PASS · current evidence changed · re-attestation required · Public/cache ✓ · Origin ✓ · schema_const=1.18.0 · report output-const=pass · evidence-sha256=pass · semantic-contract=pass · capability-html-public-origin-agree=pass · cvp-manifest-public-origin-agree=pass · cvp-latest-alias-agrees=pass · cvp-immutable-manifest-fetch=pass · cvp-immutable-manifest-sha256=pass · cvp-latest-alias-matches-immutable=pass · calculator-html-cvp-projection=pass · evidence-html-cvp-projection=pass · attested_evidence_sha256=35744de4c7781540ad0d17f98bc3111f1c6a6d7c07b35639b0f001b02fae484a · verified_at=2026-09-21T10:26:02.107Z · evidence_attested_at=2026-09-21T10:26:02.107Z · last_confirmed_current_at=2026-09-21T14:31:16.370Z · rendered_at=2026-09-21T14:31:20.144Z · binds=cvp_core_sha256", "check_result": "PASS", "production_state": "CURRENT", "binding_current": true }, "CVP-DIM-01": { "result": "PASS", "applicability": "applicable", "notes": "Euclidean 3-space; V ~ L³, A ~ L²" }, "CVP-PROP-01": { "result": "PASS", "applicability": "applicable", "notes": "4/4 property · enumerated fixed assertions (not generated; no seed)" }, "CVP-META-01": { "result": "SKIP", "applicability": "not_applicable", "notes": "No input→output transformation vectors in pack — control not in obligation set" }, "CVP-ROUND-01": { "result": "SKIP", "applicability": "not_applicable", "notes": "No inverse / round-trip vectors in pack — control not in obligation set" }, "CVP-XCAL-01": { "result": "PASS", "applicability": "applicable", "notes": "2/2 cross-calculator · xcal-ellipsoid-sphere PASS vs math.geometry.solid; xcal-frustum-cylinder PASS vs math.geometry.solid" }, "CVP-IFACE-01": { "result": "PASS", "applicability": "applicable", "notes": "UI (SSR) · REST · MCP equivalent (MCP uses calc API handler). ui-ssr is query-result HTML, not a live browser session. Error-path engine·REST·MCP 2/2 (status, code, calculation_version). SSR compared on URL-canonical requested calculations; empty query is idle (not an error) and JSON-typed object/array inputs are REST/MCP-only." }, "CVP-ORACLE-01": { "result": "SKIP", "applicability": "higher_assurance", "notes": "O2 present; O3 not required this wave" }, "CVP-EXP-01": { "result": "SKIP", "applicability": "optional", "notes": "named expert review not performed" } }, "interfaces": { "compared": [ "ui-ssr", "rest", "mcp" ], "result": "PASS", "notes": "UI (SSR) · REST · MCP equivalent (MCP uses calc API handler). ui-ssr is query-result HTML, not a live browser session. Error-path engine·REST·MCP 2/2 (status, code, calculation_version). SSR compared on URL-canonical requested calculations; empty query is idle (not an error) and JSON-typed object/array inputs are REST/MCP-only." }, "artifacts": { "evidence_bundle_sha256": "a4be256b6a2b9bd2a14e14a20627fe6b94a913c1db4dbb025dbde9aa5e3c59a6", "evidence_digest": "d81459afdb09a29f28d718c0111efd81f3f684367fda18a280260b548d5c6c8a", "production_sha256": "35744de4c7781540ad0d17f98bc3111f1c6a6d7c07b35639b0f001b02fae484a", "attested_catalog_sha256": "8b6d8b8c1163b7981e0e5b0f5b1f1910c1fdb4b71dc1f81885272cb897383b82", "production_checks": [ { "id": "math.geometry.solid:output-const", "status": "pass", "detail": "output const 1.18.0 vs capability 1.18.0", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-21T10:26:02.107Z" }, { "id": "math.geometry.solid:evidence-sha256", "status": "pass", "detail": "84655eaa3f27", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-21T10:26:02.107Z" }, { "id": "math.geometry.solid:semantic-contract", "status": "pass", "detail": "118/118", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-21T10:26:02.107Z" }, { "id": "math.geometry.solid:capability-html-public-origin-agree", "status": "pass", "detail": "public 1.18.0 vs origin 1.18.0", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-21T10:26:02.107Z" }, { "id": "math.geometry.solid:cvp-manifest-public-origin-agree", "status": "pass", "detail": "math.geometry.solid/1.18.0/2026-09-21.solid-cvp-all-modes/core/d81459afdb09", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-21T10:26:02.107Z", "projection_compared": false }, { "id": "math.geometry.solid:cvp-latest-alias-agrees", "status": "pass", "detail": "math.geometry.solid/1.18.0/2026-09-21.solid-cvp-all-modes/core/d81459afdb09", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-21T10:26:02.107Z", "projection_compared": false }, { "id": "math.geometry.solid:cvp-immutable-manifest-fetch", "status": "pass", "detail": "public=200 origin=200", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-21T10:26:02.107Z" }, { "id": "math.geometry.solid:cvp-immutable-manifest-sha256", "status": "pass", "detail": "d81459afdb09", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-21T10:26:02.107Z" }, { "id": "math.geometry.solid:cvp-latest-alias-matches-immutable", "status": "pass", "detail": "math.geometry.solid/1.18.0/2026-09-21.solid-cvp-all-modes/core/d81459afdb09", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-21T10:26:02.107Z", "projection_compared": false }, { "id": "math.geometry.solid:calculator-html-cvp-projection", "status": "pass", "detail": "matches Trust display", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-21T10:26:02.107Z" }, { "id": "math.geometry.solid:evidence-html-cvp-projection", "status": "pass", "detail": "matches Trust display", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-21T10:26:02.107Z" } ], "digest_registry": { "digest_algorithm": "sha256", "canonicalization": "json-sorted-keys-utf8", "entries": [ { "name": "cvp_core_sha256", "field": "artifacts.cvp_core_sha256", "digest_scope": "cvp_verification_fingerprint_v2", "value": "d81459afdb09a29f28d718c0111efd81f3f684367fda18a280260b548d5c6c8a", "note": "Immutable verification core; excludes attestation/live-status and Evidence contract counts" }, { "name": "cvp_evidence_digest", "field": "artifacts.evidence_digest", "digest_scope": "cvp_verification_fingerprint_v2", "value": "d81459afdb09a29f28d718c0111efd81f3f684367fda18a280260b548d5c6c8a", "note": "Alias of cvp_core_sha256 (historical field name)" }, { "name": "artifact_evidence_sha256", "field": "release_integrity.digests.evidence_core_sha256", "digest_scope": "evidence_artifact_core", "value": "84655eaa3f27180708c89df28c627befc3d8ca5618625cfa57cfe6eda4bcce6d", "note": "Published Evidence JSON core — Trust freshness / production bind subject" }, { "name": "evidence_catalog_digest", "field": "artifacts.attested_catalog_sha256", "digest_scope": "capability_catalog", "value": "8b6d8b8c1163b7981e0e5b0f5b1f1910c1fdb4b71dc1f81885272cb897383b82", "note": "Capability catalog integrity; site-wide, not per-suite fingerprint" } ] }, "cvp_core_sha256": "d81459afdb09a29f28d718c0111efd81f3f684367fda18a280260b548d5c6c8a" }, "dependencies": [ { "name": "solid-geometry-engine", "version": "1.18.0" }, { "name": "solid-geometry-reference-oracle", "version": "1.0.0" }, { "name": "math.geometry.solid", "version": "1.18.0", "role": "cross_calculator_peer", "capability_id": "math.geometry.solid", "evidence_digest": "d81459afdb09a29f28d718c0111efd81f3f684367fda18a280260b548d5c6c8a", "evidence": "https://www.calculatorx.com/evidence/math.geometry.solid/1.18.0.cvp.json" }, { "name": "node", "version": "20.19.2" } ], "attestation": { "status": "CURRENT", "href": "/.well-known/calculatorx-production-attestation.json", "id": "fc4251067456cf2704a9455f12b6f2af3152820217ca28055b2d9bf2b5e1d924", "attested_at": "2026-09-21T10:26:02.107Z", "last_confirmed_current_at": "2026-09-21T14:31:16.370Z", "site_attestation_current": false, "capability_attestation_current": true, "bound_snapshot_status": "pass", "live_report_status": "stale", "bound_attested_at": "2026-09-21T14:31:16.370Z", "live_updated_at": "2026-09-21T14:31:20.057Z", "bound_snapshot": { "status": "pass", "attested_at": "2026-09-21T14:31:16.370Z", "site_stale_count": 1 }, "live_site_status": { "href": "/.well-known/calculatorx-production-attestation.json" }, "bound_snapshot_site_stale_count": 1, "site_stale_capability_count": 1, "evidence_attested_at": "2026-09-21T10:26:02.107Z" }, "domain_review": { "status": "ABSENT", "spec_version": "1.18.0", "external_third_party": false, "note": "Named expert review not performed" }, "timestamps": { "verified_at": "2026-09-21T10:26:02.107Z", "generated_at": "2026-09-21T10:26:02.107Z", "rendered_at": "2026-09-21T14:31:20.144Z", "notes": "verified_at/generated_at mark the first publication of this cvp_core_sha256 (artifacts.evidence_digest alias) for suite verification. evidence_attested_at/attested_at is the first production bind of that core digest. last_confirmed_current_at is the latest site-wide report that still confirms CURRENT. rendered_at is this JSON serialization and is not part of cvp_core_sha256 / evidence_digest. Production attestation binds cvp_core_sha256 (binds evidence_digest). Causal order: verified_at ≤ evidence_attested_at ≤ last_confirmed_current_at. attestation.bound_snapshot.site_stale_count is the site-wide stale capability count at Manifest bind time — not a live value. Fetch attestation.live_site_status.href for the current site report." }, "tests": { "golden": { "passed": 26, "total": 26, "failed": 0 }, "boundary": { "passed": 27, "total": 27, "failed": 0 }, "invalid": { "passed": 32, "total": 32, "failed": 0, "comparison": "exact_error_match" }, "property": { "passed": 4, "total": 4, "failed": 0, "kind": "fixed" }, "round_trip": { "passed": 0, "total": 0, "failed": 0 }, "metamorphic": { "passed": 0, "total": 0, "failed": 0 }, "contract": { "passed": 3, "total": 3, "failed": 0 }, "cross_interface": { "passed": 8, "total": 8, "failed": 0 }, "cross_calculator": { "passed": 2, "total": 2, "failed": 0 } }, "numerical": { "representation": "IEEE-754 binary64 Euclidean solids; IUT publishes toPrecision(12)", "tolerance": { "type": "relative", "value": 1e-10, "rationale": "O2 is unrounded textbook identities. IUT publishes 12 significant digits. Ellipsoid surface compares Legendre-integrand F/E (O2) to Carlson RF/RD (IUT). Relative 1e-10 covers presentation rounding and elliptic-algorithm difference; declared a priori. Not a 2-ULP claim.", "declared_before_evaluation": true }, "max_error_observed": 28148 }, "coverage": { "partitions": [ { "id": "sphere", "description": "sphere", "exercised": true, "case_count": 3 }, { "id": "cylinder", "description": "cylinder", "exercised": true, "case_count": 2 }, { "id": "cone", "description": "cone", "exercised": true, "case_count": 3 }, { "id": "torus", "description": "torus", "exercised": true, "case_count": 1 }, { "id": "frustum", "description": "frustum", "exercised": true, "case_count": 5 }, { "id": "prism", "description": "prism", "exercised": true, "case_count": 3 }, { "id": "pyramid", "description": "pyramid", "exercised": true, "case_count": 3 }, { "id": "tetrahedron", "description": "tetrahedron", "exercised": true, "case_count": 3 }, { "id": "octahedron", "description": "octahedron", "exercised": true, "case_count": 3 }, { "id": "icosahedron", "description": "icosahedron", "exercised": true, "case_count": 3 }, { "id": "dodecahedron", "description": "dodecahedron", "exercised": true, "case_count": 3 }, { "id": "regular-prism", "description": "regular_prism", "exercised": true, "case_count": 3 }, { "id": "regular-pyramid", "description": "regular_pyramid", "exercised": true, "case_count": 3 }, { "id": "regular-frustum", "description": "regular_frustum", "exercised": true, "case_count": 3 }, { "id": "ellipsoid", "description": "ellipsoid", "exercised": true, "case_count": 14 }, { "id": "spherical-cap", "description": "spherical_cap", "exercised": true, "case_count": 6 }, { "id": "spherical-zone", "description": "spherical_zone", "exercised": true, "case_count": 4 }, { "id": "spherical-wedge", "description": "spherical_wedge", "exercised": true, "case_count": 5 }, { "id": "spherical-lune", "description": "spherical_lune", "exercised": true, "case_count": 4 }, { "id": "spherical-sector", "description": "spherical_sector", "exercised": true, "case_count": 4 }, { "id": "invalid-domain", "description": "Invalid inputs", "exercised": true, "case_count": 32 } ] }, "reference": { "items": [ { "class": "O1", "reference_scope": "model", "scope": "model", "label": "Euclidean solid volume and surface identities" }, { "class": "O2", "reference_scope": "expected_values", "scope": "expected_values", "label": "Separate-module solid-geometry oracle — Euclidean identities + Legendre F/E (not Carlson)", "engine": { "name": "solid-geometry-reference", "precision_bits": 53, "independent_of_iut": true, "same_runtime_as_iut": true } }, { "class": "O2", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O2 module backs relative 1e-10 V/A comparison vs IUT", "engine": { "name": "solid-geometry-reference", "precision_bits": 53, "independent_of_iut": true, "same_runtime_as_iut": true } } ] }, "links": { "legacy_evidence": "https://www.calculatorx.com/evidence/math.geometry.solid/1.18.0.json", "evidence_page": "https://www.calculatorx.com/evidence/math.geometry.solid/1.18.0", "calculator": "https://www.calculatorx.com/calc/math/solid-geometry", "schema": "https://www.calculatorx.com/developers/cvp/schema/cvp-evidence-1.0.json", "protocol": "https://www.calculatorx.com/developers/cvp/spec/1.0", "manifest": "https://www.calculatorx.com/evidence/math.geometry.solid/1.18.0.cvp.json", "manifest_immutable": "https://www.calculatorx.com/evidence/math.geometry.solid/1.18.0/2026-09-21.solid-cvp-all-modes.cvp.json", "manifest_core": "https://www.calculatorx.com/evidence/math.geometry.solid/1.18.0/2026-09-21.solid-cvp-all-modes.d81459afdb09.cvp.json" }, "disclosure": { "policy": "calculatorx-public-evidence-v1", "full_validation": "private", "representation": "summary" } }